$K$-weight bounds for $\gamma$-hyperelliptic semigroups
Abstract
In this note, we show that {\it $\gamma$-hyperelliptic} numerical semigroups of genus $g \gg \gamma$ satisfy a refinement of a well-known characteristic weight inequality due to Torres. The refinement arises from substituting the usual notion of weight by an alternative version, the $K$-weight, which we previously introduced in the course of our study of unibranch curve singularities.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2018
- DOI:
- 10.48550/arXiv.1812.00284
- arXiv:
- arXiv:1812.00284
- Bibcode:
- 2018arXiv181200284C
- Keywords:
-
- Mathematics - Combinatorics;
- Mathematics - Algebraic Geometry;
- 20Mxx;
- 14Hxx
- E-Print:
- final version, to appear in Semigroup Forum